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Simplifying 1.2(6x + -8) = 2.4(x + -5) Reorder the terms: 1.2(-8 + 6x) = 2.4(x + -5) (-8 * 1.2 + 6x * 1.2) = 2.4(x + -5) (-9.6 + 7.2x) = 2.4(x + -5) Reorder the terms: -9.6 + 7.2x = 2.4(-5 + x) -9.6 + 7.2x = (-5 * 2.4 + x * 2.4) -9.6 + 7.2x = (-12 + 2.4x) Solving -9.6 + 7.2x = -12 + 2.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.4x' to each side of the equation. -9.6 + 7.2x + -2.4x = -12 + 2.4x + -2.4x Combine like terms: 7.2x + -2.4x = 4.8x -9.6 + 4.8x = -12 + 2.4x + -2.4x Combine like terms: 2.4x + -2.4x = 0.0 -9.6 + 4.8x = -12 + 0.0 -9.6 + 4.8x = -12 Add '9.6' to each side of the equation. -9.6 + 9.6 + 4.8x = -12 + 9.6 Combine like terms: -9.6 + 9.6 = 0.0 0.0 + 4.8x = -12 + 9.6 4.8x = -12 + 9.6 Combine like terms: -12 + 9.6 = -2.4 4.8x = -2.4 Divide each side by '4.8'. x = -0.5 Simplifying x = -0.5
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